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| 一类p-Laplacian方程解的存在性 | |
| 引用本文： | 李麟,钟新,易姚.一类p-Laplacian方程解的存在性[J].四川理工学院学报(自然科学版),2010,23(1):31-32,35. |
| 作者姓名： | 李麟 钟新 易姚 |
| 作者单位： | 1. 四川理工学院理学院,四川,自贡,643000;西南大学数学与统计学院,重庆,400715 2. 西南大学数学与统计学院,重庆,400715 3. 重庆市巴蜀中学,重庆,400000 |
| 摘 要： | 文章主要利用扰动方法结合Calderon-Zydmound不等式和Schauder不动点定理研究了一类p-Laplacian方程:-Δpu+f(x,u,u)=h(x),u∈W1,0 p(Ω),对f做合适的假设,得到这类方程弱解的存在性。 |
| 关 键 词： | 扰动方法 Calderon-Zydmound不等式 弱极大值原理 |
Existence Theorem for a Class of p-Laplacian Equation |
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| LI Lin,ZHONG Xin,YI Yao.Existence Theorem for a Class of p-Laplacian Equation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2010,23(1):31-32,35. | |
| Authors: | LI Lin ZHONG Xin YI Yao |
| Affiliation: | LI Lin1,2,ZHONG Xin2,YI Yao3(1.School of Science,Sichuan University of Science & Engineering,Zigong 643000,China,2.Department of Mathematics , Statistics,Southwest University,Beibei 400715,3.Bashu Middle School of Chongqing,Yuzhong 400000,China) |
| Abstract: | The Calderon-Zydmound inequality and Schauder fixed point theorem due to the perturbation method are used to study a class p-Laplacian elliptic equation:-Δpu+f(x,u,u)=h(x),u∈W1,0 p(Ω).Under some sufficient conditions of f,the equation existence of a weak solution is also proved in the paper. |
| Keywords: | perturbation method Calderon-Zydmound inequality weak maximum principle |
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